Representatives of subsets

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On Representatives of Subsets

1. Let a set S of raw things be divided into m classes of n things each in two distinct ways, (a) and (6); so that there are m (a)-classes and m (6)-classes. Then it is always possible to find a set B of m things of S which is at one and the same time a C.S.R. ( = complete system of representatives) for the (a)-classes, and also a C.S.R. for the (ft)-classes. This remarkable result was original...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory

سال: 1967

ISSN: 0021-9800

DOI: 10.1016/s0021-9800(67)80078-4